Search a number
-
+
34448107121 is a prime number
BaseRepresentation
bin100000000101010001…
…000110011001110001
310021220202012011020022
4200011101012121301
51031022203411441
623454130253225
72326441036121
oct400521063161
9107822164208
1034448107121
111367807081a
126814727215
13332ca9ca4c
14194b0c6c81
15d693b684b
hex805446671

34448107121 has 2 divisors, whose sum is σ = 34448107122. Its totient is φ = 34448107120.

The previous prime is 34448107093. The next prime is 34448107123. The reversal of 34448107121 is 12170184443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25062372721 + 9385734400 = 158311^2 + 96880^2 .

It is a cyclic number.

It is not a de Polignac number, because 34448107121 - 210 = 34448106097 is a prime.

Together with 34448107123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34448107123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17224053560 + 17224053561.

It is an arithmetic number, because the mean of its divisors is an integer number (17224053561).

Almost surely, 234448107121 is an apocalyptic number.

It is an amenable number.

34448107121 is a deficient number, since it is larger than the sum of its proper divisors (1).

34448107121 is an equidigital number, since it uses as much as digits as its factorization.

34448107121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 34448107121 in words is "thirty-four billion, four hundred forty-eight million, one hundred seven thousand, one hundred twenty-one".